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Finding the Fourth Proportional to 9,447.70, 14,172.23 and 3,205.18

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Solution

The fourth proportional to 9,447.70, 14,172.23 and 3,205.18 is: 4,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.70 : 14,172.23 = 3,205.18 : x
  2. Step 2: Convert to fraction form
    9,447.70/14,172.23 = 3,205.18/x
  3. Step 3: Cross multiply
    9,447.70x = 14,172.23 × 3,205.18
  4. Step 4: Simplify right side
    9,447.70x = 45,424,548.15
  5. Step 5: Solve for x
    x = 45,424,548.15/9,447.70
  6. Step 6: Final answer
    x = 4,808.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.